Results 61 to 70 of about 111 (99)

On a generalization of derangement polynomials and numbers

Demonstratio Mathematica
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
doaj   +1 more source

Proving Fermat’s Last Theorem Using Partial Differences of Powers and the Binomial Theorem

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer n > 2.
Charles Kusniec
core  

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +1 more source

On a generalization of duality triads

Open Mathematics, 2006
Schork Matthias
doaj   +1 more source

Two explicit formulas for the generalized Motzkin numbers. [PDF]

J Inequal Appl, 2017
Zhao JL, Qi F.
europepmc   +1 more source

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]

J Inequal Appl, 2018
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Fourier series of sums of products of ordered Bell and poly-Bernoulli functions. [PDF]

J Inequal Appl, 2017
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Sums of bases-exponents positive integer powers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We consider natural numbers that can be represented as sums of positive integer powers greater than 1, such that the set of bases coincides with the set of exponents.
Zanoni A., Zanoni M.
doaj   +1 more source

Congruences for central factorial numbers modulo powers of prime. [PDF]

Springerplus, 2016
Wang H, Liu G.
europepmc   +1 more source